"The people would recognize that smile," Gibson told "Good Morning America," "It's a ready smile, and then all I had to do was put teeth."

Authorities said they are hoping Chloe's mother or other relatives come forward to claim the baby, or officially allow another family to take custody of the newborn. They plan to charge the parents if they can find them, police said.

Texas has an infant safe haven law, which allows mothers to anonymously give up their babies to designated locations where they can receive care until they are placed in a permanent home.

Texas was the first state to enact an infant safe haven law, which was passed in 1999. The laws, now adopted by many other states and known as "Baby Moses laws," are meant to provide mothers with an incentive not to abandon unwanted children, according to the U.S. Department of Health and Human Services.

Meanwhile, Harris County Sheriff's Department spokeswoman Christina Garza said once custody issues are resolved, "[Chloe] will be placed in a loving home."